Sunday
May 26, 2013

# Homework Help: Math

Posted by Jamie on Wednesday, October 20, 2010 at 10:07am.

(3^x)(4^2x+1)=(6^x+2). Find the exact value of x giving the answer in the form x=ln(a)/ln(b).

• Math - Reiny, Wednesday, October 20, 2010 at 10:37am

(3^x)(4^2x+1)=(6^x+2)
log[(3^x)(4^2x+1)]= log(6^x+2)
xlog3 + (2x+1)log4 = (x+2)log6
xlog3 + x(2log4) + log4 = xlog6 + 2log4
x(log3 + 2log4 - log6) = 2log4 - log4
x(log8) = log9
x = log9/log8

• Math - Jamie, Wednesday, October 20, 2010 at 10:52am

Thank you so much! I got to the third step and then couldn't figure out how to go about it without using decimals..but thanks so much!

Related Questions

math - Express y as a function of x. C is a positive number. 3 ln y= 1/2ln (2x+1...
Math - Find the derivative of: ln(2x/x+1) the answer is 1/x(x+1) but i can't...
integration by parts - s- integral s ln (2x+1)dx ? = ln(2x+1)x - s x d( ln (2x+1...
Math differentiation - 1. y = x^x 2. y = (sin^2xtan^4x)/(x^2+1)^2 3. y = x^(1/x...
Math - exponential function - Find all real numbers that satisfy (6^x)(7^(2x...
Algebra II - Solve for X. Give exact answer in form of fraction. ln 27+ln(x-8)=...
Math - What does the following infinite series starting at k=2 converge to: &...
algebra - can someone plzs help me solve the equations by finding the exact ...
Math - ln x^2(x+1)/x+2 Write in terms of ln(x), ln(x+1), and ln(x+2) is the ...
Calc 121 - How do you integrate using substitution: the integral from 1 to 3 of...